分析一维砂柱弥散试验数据的反函数法

文中将描述一维、稳定流场和连续注入定示踪剂浓度条件下的半无限砂柱弥散试验中示踪剂浓度随时空变化的近似解析解进行了反函数变化．变化后的数学表达式能够用以分析试验中得到的ｃｉ～ｔｉ或ｃｉ～ｘｉ数据，以确定介质的纵向弥散系数ＤＬ和渗透速度ｕ．与原有方法相比较，反函数法具有：能够消除在求参过程中，人为因素对计算结果准确性的影响；不仅可以计算出ＤＬ值，而且还可以计算出ｕ值；在ｃｉ～ｔｉ或ｃｉ～ｘｉ数据不充分的情况下，仍可以应用；整个求参计算过程可以程序化，由计算机完成等优点

The inverse function method for analyzing the data of one-dimension sand column dispersive test

Inverse function conversion was conducted for approximate analytical solution of semi infinitive sand column during dispersive test under the condition of one dimensional steady flow and injection of tracer with constant concentration.The converted mathematical expression can be applied to analyze the data for determining the longitudinal dispersive coefficient of the test media.The method has better accuracy than the current method and can be applied to the case of fewer data.The computing procedure can be programmed and carried out with computer.